A general method for generating multicomponent integrable hierarchies

Hon Wah TAM*, Yu Feng Zhang

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

5 Citations (Scopus)


A Lie algebra, whose bases are the forms of M × 3 matrices, is defined. Subsequently two types of loop algebras are constructed, whose commutative operations are equivalent to known ones proposed before. By using the Tu scheme, the mulicomponent KN hierarchy and its integrable coupling system, as well as a generalized multicomponent AKNS integrable hierarchy with five potential functions are obtained. The procedure presented in this paper is simple and straightforward and can be used generally

Original languageEnglish
Pages (from-to)963-971
Number of pages9
JournalChaos, Solitons and Fractals
Issue number3
Publication statusPublished - Feb 2005

Scopus Subject Areas

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics


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